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FUNDAMENTALS OF MATHEMATICS DIFFERENTIAL CALCULUS by Sanjay Mishra

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CHAPTER 3

Method of Differentiation

INTRODUCTIONS

In the history of mathematics two names are prominent to share the credit for inventing calculus, Issac Newton (1642–1727) and G.W. Leibntiz (1646–1717). Both of them independently invented calculus around the seventeenth century.

One of the most important problem in mathematics was to find the equation of tangent to a curve at a given point. Now finding the equation of tangent for a circle or even for any conic was easy, even without the help of differentiation but unfortunately the same cannot be said for any arbitrary curve. And the second problem was the Kepler's conclusion that the orbits of planets around the sun are elliptical, but he was unable to provide a logical explanation for his ...

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